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Find the capacity in litres of a conical vessel with0 radius 7 cm, slant height 25 cm ( height 12 cm,slant height 13 cmolun e įs l 570 m find the radius ofthe base. |
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Answer» (i)Radius (r) = 7 cm Slant height (l) = 25 cm Let h be the height of the conical vessel.Slant height (l)²=r²+h^2 h = √l² – r²h = √25²– 7² = 625- 49h = √576h = 24 cm Volume of the cone = 1/3 πr²h = (1/3 × 22/7 × 7 × 7 × 24)= 1232 cm³[1 cm³= 1/1000L]Capacity of the vessel = (1232/1000) L= 1.232 LCapacity of thevessel =1.232 L (ii) Given: Height(h) = 12 cm Slant height (l) = 13 cmLet r be the radius of the conical vessel. Slant height(l)²= r²+h²r = √ r² - h²r = √13²– 12²= √169 – 144r = √25r = 5 cmVolume of the cone = 1/3 πr²h= (1/3 × 22/7 × 5 × 5 × 12) = (2200/7) cm³Capacity of the vessel = (2200/7× 1000) L = 11/35 lCapacity of the vessel =11/35 L |
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